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Finding the Third Proportional to 14,964 and 23,473

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Solution

The third proportional to 14,964 and 23,473 is: 36,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,964 : 23,473 = 23,473 : x
  2. Step 2: Convert to fraction form
    14,964/23,473 = 23,473/x
  3. Step 3: Cross multiply
    14,964x = 23,473 × 23,473
  4. Step 4: Simplify right side
    14,964x = 550,981,729
  5. Step 5: Solve for x
    x = 550,981,729/14,964
  6. Step 6: Final answer
    x = 36,820.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.